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Finding the Third Proportional to 699,702 and 1,106,202

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Solution

The third proportional to 699,702 and 1,106,202 is: 1,748,862.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,702 : 1,106,202 = 1,106,202 : x
  2. Step 2: Convert to fraction form
    699,702/1,106,202 = 1,106,202/x
  3. Step 3: Cross multiply
    699,702x = 1,106,202 × 1,106,202
  4. Step 4: Simplify right side
    699,702x = 1,223,682,864,804
  5. Step 5: Solve for x
    x = 1,223,682,864,804/699,702
  6. Step 6: Final answer
    x = 1,748,862.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.